scholarly journals A finite element model for martensitic thin films

CALCOLO ◽  
2006 ◽  
Vol 43 (3) ◽  
pp. 197-215 ◽  
Author(s):  
Pavel Bělík ◽  
Mitchell Luskin
Aerospace ◽  
2006 ◽  
Author(s):  
William S. Oates ◽  
Alexei Gruverman

Local domain structures in Pb(Zr,Ti)O3 (PZT) ferroelectric thin films have been investigated using linear finite element analysis to qualitatively assess the effect of crystal structure, domain wall orientation and mechanical constraints from electrodes on local polarization switching behavior. The finite element model was used to illustrate that the evolution of residual stress during polarization reorientation may play an important role in the backswitching behavior which has been observed experimentally in (111)-orientated PZT films. The domain size and orientation used in the finite element model utilizes domain sizes determined from piezoresponse force microscopy (PFM) measurements given in the literature together with domain wall orientation from strain and charge compatibility in the (111) orientation. During polarization switching, domains with polarization components aligned anti-parallel to the applied field are expected to switch 90° to partially align with the applied field. 180° switching is not expected to occur in the (111) oriented film. The 90° switching induces residual stress that is computed using the finite element model. It is illustrated that thicker top electrodes increase the residual stress in the ferroelectric layer which may play an important role in polarization retention behavior in ferroelectric capacitors.


1989 ◽  
Vol 17 (4) ◽  
pp. 305-325 ◽  
Author(s):  
N. T. Tseng ◽  
R. G. Pelle ◽  
J. P. Chang

Abstract A finite element model was developed to simulate the tire-rim interface. Elastomers were modeled by nonlinear incompressible elements, whereas plies were simulated by cord-rubber composite elements. Gap elements were used to simulate the opening between tire and rim at zero inflation pressure. This opening closed when the inflation pressure was increased gradually. The predicted distribution of contact pressure at the tire-rim interface agreed very well with the available experimental measurements. Several variations of the tire-rim interference fit were analyzed.


1996 ◽  
Vol 24 (4) ◽  
pp. 339-348 ◽  
Author(s):  
R. M. V. Pidaparti

Abstract A three-dimensional (3D) beam finite element model was developed to investigate the torsional stiffness of a twisted steel-reinforced cord-rubber belt structure. The present 3D beam element takes into account the coupled extension, bending, and twisting deformations characteristic of the complex behavior of cord-rubber composite structures. The extension-twisting coupling due to the twisted nature of the cords was also considered in the finite element model. The results of torsional stiffness obtained from the finite element analysis for twisted cords and the two-ply steel cord-rubber belt structure are compared to the experimental data and other alternate solutions available in the literature. The effects of cord orientation, anisotropy, and rubber core surrounding the twisted cords on the torsional stiffness properties are presented and discussed.


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